On exact series solution of strongly coupled mixed parabolic problems
type: Item
instance of: scholarly article
title: On exact series solution of strongly coupled mixed parabolic problems
zbMATH Open document ID: 1291.35027
DOI: 10.1155/2013/524514
author: Yanyan Li
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: This paper studies the construction of the exact solution for parabolic coupled systems of the type \(u_t=Au_{xx}\), \(A1u(0,t)+B_1u_x(0,t)=0\), \(A_2u(l,t)+B_2u_x(l,t)=0\), \(0<x<1\), \(t>0\), and \(u(x,0)=f(x)\), where \(A_1\), \(A_2\), \(B_1\), and \(B_2\) are arbitrary matrices for which the block matrix \(\begin{pmatrix} A_1 & B_1 \\ A_2 & B_2 \end{pmatrix}\) is nonsingular, and \(A\) is a positive stable matrix.
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35K51
zbMATH DE Number: 6306972
MaRDI profile type: Publication
Wikidata QID: Q58917012
full work available at URL: https://doi.org/10.1155/2013/524514
OpenAlex ID: W2102688285
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description: scientific article; zbMATH DE number 6306972